This glitch also only works on Super Mario Bros. 3 and only on the All-Stars releases of this game ... At the end of the game, when Bowser uses his jump attack on you, duck if you are big Mario ...

Each time you beat World 8-4, the game adds a star to the All Night Nippon Super Mario Bros logo on the title screen. When you have eight stars, go to the title screen and hold A and press START ...